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微分方程(2xsiny+3x2y)dx+(x3+x2cosy+y2)dy=0的通解是______.

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cosy+2yex+2xln2,xsiny-ex  cosy-2yex-2xln2,xsiny+2ex  cosy-2yex+2xln2,-xsiny-2ex  siny-2yex+2xln2,cosy-2ex  
cosy=(1+ex)/4  cosy=1+ex  cosy=4(1+ex)  cos2y=1+ex  
cosy+2yex+2xln2,xsiny-ex  cosy-2yex-2xln2,xsiny+2ex  cosy-2yex+2xln2,-xsiny-2ex  siny-2yex+2xln2,cosy-2ex  
可分离变量的微分方程  齐次方程  一阶线性微分方程  全微分方程  
x(y')2+y=ex  xy"+xy'+y=cosx  y3y"+y'+2y=0  y"+2y"+y2=0  

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